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Finding the Fourth Proportional to 630.27, 869.84 and 368.37

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Solution

The fourth proportional to 630.27, 869.84 and 368.37 is: 508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.27 : 869.84 = 368.37 : x
  2. Step 2: Convert to fraction form
    630.27/869.84 = 368.37/x
  3. Step 3: Cross multiply
    630.27x = 869.84 × 368.37
  4. Step 4: Simplify right side
    630.27x = 320,421.12
  5. Step 5: Solve for x
    x = 320,421.12/630.27
  6. Step 6: Final answer
    x = 508.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.